Find the Average Value of F(x, Y, Z) Over the Given

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- $F ( x , y , z ) = x ^ { 2 } y ^ { 6 } z ^ { 9 }$ over the cube in the first octant bounded by the coordinate planes and the planes $x = 1$ , $y = 1 , z = 1$

A) $\frac { 1 } { 192 }$
B) $\frac { 1 } { 84 }$
C) $\frac { 1 } { 108 }$
D) $\frac { 1 } { 210 }$